Question

2^x>3-x решить показательное неравенство с графиком​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Solving the Exponential Inequality 2^x > 3 - x

To solve the exponential inequality 2^x > 3 - x, we can follow these steps:

Step 1: Rewrite the inequality in the form of a single exponential expression on one side of the inequality sign.

In this case, we can move the term 3 - x to the left side of the inequality:

2^x - (3 - x) > 0

Simplifying further:

2^x + x - 3 > 0

Step 2: Analyze the behavior of the exponential function.

The exponential function 2^x is always positive for any real value of x. Therefore, we can ignore the possibility of the exponential function being equal to zero.

Step 3: Find the critical points.

To find the critical points, we set the expression 2^x + x - 3 equal to zero and solve for x:

2^x + x - 3 = 0

Unfortunately, there is no simple algebraic solution to this equation. We can use numerical methods or graphical methods to approximate the solutions.

Step 4: Graph the inequality.

To graph the inequality, we can plot the graph of the function y = 2^x + x - 3 and identify the regions where the function is greater than zero.

Unfortunately, I am unable to provide a graph here. However, you can use graphing software or online graphing tools to plot the function and identify the regions where it is greater than zero.

Step 5: Determine the solution.

The solution to the inequality 2^x > 3 - x is the set of all x values for which the function 2^x + x - 3 is greater than zero.

Please note that without the graph or numerical approximations, it is difficult to provide an exact solution to this inequality. However, by following the steps outlined above, you can determine the solution using numerical or graphical methods.

I hope this helps! Let me know if you have any further questions.